This work concerns the calculations of interacting boson fermion-fermion model (IBFFM) for the odd-odd nucleus ^{134}Cs. The energy levels (positive and negative parity states), electric transition probability B(E2), magnetic transition probability B(M1), quadrupole and magnetic dipole moments have been studied in this work. The IBFFM results are compared with the available experimental data. In the present work, the IBFFM pattern of total and parametric dependent level densities for the odd-odd nucleus ^{134}Cs is investigated and compared to the pattern found in previous investigations in the framework of combinatorial and spectral distribution approaches. When comparing the theoretical values with the available experimental values, it was found that there is a good match between them. This is due to the values of the Hamiltonian parameters that were found accurately, so this IBFFM model is considered one of the effective models in studying the nuclear structure of odd-odd nuclei. The level density of the odd-odd nucleus ^{196}Au is investigated in the interacting boson-fermion-fermion model (IBFFM) which accounts for collectivity and complex interaction between quasiparticle and collective modes. The IBFFM spin-dependent level densities show high-spin reduction with respect to Bethe formula. This can be well accounted for by a modified spin-dependent level density formula.
Published in | American Journal of Modern Energy (Volume 10, Issue 1) |
DOI | 10.11648/j.ajme.20241001.12 |
Page(s) | 11-17 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
IBFFM, Energy Levels, Electromagnetic Transitions
3.1. Energy Spectra
Positive parity states | Negative parity states | ||||
---|---|---|---|---|---|
Levels | Exp. [24] | IBFFM | Levels | Exp. [24] | IBFFM |
0.0 | 0.0 | 0.138 | 0.142 | ||
0.0112 | 0.010 | 0.1764 | 0.170 | ||
0.0600 | 0.077 | 0.193 | 0.211 | ||
0.173 | 0.167 | 0.257 | 0.289 | ||
0.176 | 0.180 | 0.267 | 0.271 | ||
0.190 | 0.195 | 0.344 | 0.376 | ||
0.197 | 0210 | 0.382 | 0.391 | ||
0.209 | 0.218 | 0.434 | 0.442 | ||
0.234 | 0.239 | 0.450 | 0.481 | ||
0.274 | 0.281 | 0.483 | 0.510 | ||
0.290 | 0.301 | 0.570 | 0.589 | ||
0.377 | 0.367 | 0.613 | 0.633 | ||
0.451 | 0.433 | 0.624 | 0.645 | ||
0.454 | 0.476 | 0.643 | 0.681 | ||
0.502 | 0.511 | 0.684 | 0.697 | ||
0.519 | 0.522 | 0.701 | 0.721 | ||
0.539 | 0.559 | 0.715 | 0.20 | ||
0.579 | 0.588 | 0.752 | 0.755 | ||
0.584 | 0.611 | 0.783 | 0.792 |
levels | Wavefunction components |
---|---|
0.593 |
3.2. Electromagnetic Properties
levels | Q(e.b). | μ(μ_{N}) | ||
---|---|---|---|---|
Exp. [24] | IBFFM | Exp. [24] | IBFFM | |
0.39 | 0.389 | 2.99 | 2.83 | |
- | 0.044 | 2.33 | 3.33 | |
- | -0.55 | - | 2.40 | |
- | -0.39 | - | 1.99 | |
- | 1.33 | 1.10 | 1.18 | |
- | 0.97 | - | -1.99 | |
- | 0.71 | - | -0.98 | |
- | 0.55 | - | 0.47 | |
- | 0.45 | - | -0.24 | |
- | 1.32 | - | 0.89 |
transitions | Excitation Energy (MeV) | ||
---|---|---|---|
Exp. | IBFFM | ||
0.112 | 1 | 1 | |
0.060 | 1 | 0.06 | |
0.048 | 0.03 | ||
1.139 | 1 | 0.18 | |
1.738 | 0.01 | 1 | |
0.173 | 1 | 1 | |
0.741 | 1 | 0.9 | |
0.106 | - | 0.10 | |
0.931 | - | 0.008 | |
1.184 | 1 | 1 | |
0.653 | 0.03 | 0.061 | |
2.056 | 1 | 0.92 | |
0.873 | 0.23 | 0.29 | |
0.767 | - | 0.009 |
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APA Style
Mohaisen, A. J., Abood, S. N. (2024). An Application of Interacting Boson Fermion-Fermion Model (IBFFM) for 134Cs Nucleus. American Journal of Modern Energy, 10(1), 11-17. https://doi.org/10.11648/j.ajme.20241001.12
ACS Style
Mohaisen, A. J.; Abood, S. N. An Application of Interacting Boson Fermion-Fermion Model (IBFFM) for 134Cs Nucleus. Am. J. Mod. Energy 2024, 10(1), 11-17. doi: 10.11648/j.ajme.20241001.12
AMA Style
Mohaisen AJ, Abood SN. An Application of Interacting Boson Fermion-Fermion Model (IBFFM) for 134Cs Nucleus. Am J Mod Energy. 2024;10(1):11-17. doi: 10.11648/j.ajme.20241001.12
@article{10.11648/j.ajme.20241001.12, author = {Afrah Jawad Mohaisen and Saad Naji Abood}, title = {An Application of Interacting Boson Fermion-Fermion Model (IBFFM) for 134Cs Nucleus }, journal = {American Journal of Modern Energy}, volume = {10}, number = {1}, pages = {11-17}, doi = {10.11648/j.ajme.20241001.12}, url = {https://doi.org/10.11648/j.ajme.20241001.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajme.20241001.12}, abstract = {This work concerns the calculations of interacting boson fermion-fermion model (IBFFM) for the odd-odd nucleus 134Cs. The energy levels (positive and negative parity states), electric transition probability B(E2), magnetic transition probability B(M1), quadrupole and magnetic dipole moments have been studied in this work. The IBFFM results are compared with the available experimental data. In the present work, the IBFFM pattern of total and parametric dependent level densities for the odd-odd nucleus 134Cs is investigated and compared to the pattern found in previous investigations in the framework of combinatorial and spectral distribution approaches. When comparing the theoretical values with the available experimental values, it was found that there is a good match between them. This is due to the values of the Hamiltonian parameters that were found accurately, so this IBFFM model is considered one of the effective models in studying the nuclear structure of odd-odd nuclei. The level density of the odd-odd nucleus 196Au is investigated in the interacting boson-fermion-fermion model (IBFFM) which accounts for collectivity and complex interaction between quasiparticle and collective modes. The IBFFM spin-dependent level densities show high-spin reduction with respect to Bethe formula. This can be well accounted for by a modified spin-dependent level density formula. }, year = {2024} }
TY - JOUR T1 - An Application of Interacting Boson Fermion-Fermion Model (IBFFM) for 134Cs Nucleus AU - Afrah Jawad Mohaisen AU - Saad Naji Abood Y1 - 2024/04/17 PY - 2024 N1 - https://doi.org/10.11648/j.ajme.20241001.12 DO - 10.11648/j.ajme.20241001.12 T2 - American Journal of Modern Energy JF - American Journal of Modern Energy JO - American Journal of Modern Energy SP - 11 EP - 17 PB - Science Publishing Group SN - 2575-3797 UR - https://doi.org/10.11648/j.ajme.20241001.12 AB - This work concerns the calculations of interacting boson fermion-fermion model (IBFFM) for the odd-odd nucleus 134Cs. The energy levels (positive and negative parity states), electric transition probability B(E2), magnetic transition probability B(M1), quadrupole and magnetic dipole moments have been studied in this work. The IBFFM results are compared with the available experimental data. In the present work, the IBFFM pattern of total and parametric dependent level densities for the odd-odd nucleus 134Cs is investigated and compared to the pattern found in previous investigations in the framework of combinatorial and spectral distribution approaches. When comparing the theoretical values with the available experimental values, it was found that there is a good match between them. This is due to the values of the Hamiltonian parameters that were found accurately, so this IBFFM model is considered one of the effective models in studying the nuclear structure of odd-odd nuclei. The level density of the odd-odd nucleus 196Au is investigated in the interacting boson-fermion-fermion model (IBFFM) which accounts for collectivity and complex interaction between quasiparticle and collective modes. The IBFFM spin-dependent level densities show high-spin reduction with respect to Bethe formula. This can be well accounted for by a modified spin-dependent level density formula. VL - 10 IS - 1 ER -